Sulaiman Sani

University of Swaziland | UNISWA · Department of Mathematics

This article studies a cost project problem identified here as the Moon project with mathematical laws. The Moon project is a program cost project regulated by certain constraints with principal variable N∈Z that survives on project h∈H only if it survives the lowest level (level 1). For this particular problem, we model the total cost T for mounti...

We present properties of a uniquely designed Ornstein-Uhlenbeck process termed as regularly varying Ornstein-Uhlenbeck (regulated-OU) process and provide methods for transforming its sub-exponential tail in a dominated regime. We also demonstrate how the regulated-OU is suitable for modelling arbitrage-free price of assets and derivatives in pandem...

In this work, quiescence is added to the Susceptible-Infectious-Recovered (SIR) model with demography. In order to investigate consequences of quiescence in the infection process in more depth, we use stochastic simulations on the stochastic version of model that we built. This method provides a more accurate picture of the dynamics of infectious d...

We study the slow second cashier problem of payment points with two cashiers and provide the analysis that minimizes both the violation of the First Come First Served payment discipline (FCFS) and ergodic characteristics vital for operations management respective of decision making when it is operationally optimal to balance the work rate of the sl...

In this study, Ito form for normal bonds trading where maturity periods cross over to COVID-19 pandemic period is presented. It is shown that normal bonds in this period experience path reversals respective to their canonical paths. The criterion used in arriving at this striking result is also presented. As a key recommendation, it is necessary th...

We present the properties of a regularly varying Ornstein-Uhlenbeck (regulated-OU) process and design the methodology for transforming its sub-exponential tail in the dominated regime. We demonstrate how the regulated-OU models arbitrage-free price of financial assets in non-normal trading times like trading an asset during a pandemic.

Of late, pressure and need to manage emergencies in production systems with multiple objective functions are mounting. Information and Communication Technology (ICT) is one system where optimal response is needed for high level management amidst complex conflicting selection criteria. This paper designs an approach for solving this class of complex...

Motion picture derivatives have proved valuable in hedging financial risk of the movie industry. However, the existence of pseudo assets within certain category of movie contingencies makes market trading below capacity due to hyper level pricing arbitrage. This paper analyzes pseudo assets lying within movie contingencies and develops a stochastic...

The need to formulate quantifiers for water, energy and food (WEF) is necessary sequel to conservation issues worldwide. Existing methodologies on the WEF nexus appear less fitting in sustainability arguments because of incompleteness. This article analyzes the WEF nexus in open but restricted environments (ObR-E's) with completeness assumption in...

The need to formulate quantifiers for water, energy and food (WEF) is necessary sequel to conservation issues worldwide. Existing methodologies on the WEF nexus appear less fitting in sustainability arguments because of incompleteness. This article analyzes the WEF nexus in open but 389 390 S. Sani et al. restricted environments (ObR-E's) with comp...

The increasing variability of loads on power supply systems has led to even stricter flexibility requirements. This work reviews wireless power technologies for power supply system flexibility. Principally, methodologies for improving flexibility issues in wireless power supply systems are discussed with respect to coil structure and design strateg...

This paper presents sufficient conditions for designing magnetic circuit wireless picogrids for non-smartphones to mitigate user inconveniences due to flexibility, safety and reliability issues. The work demonstrates flexibility and safety by efficiency regulation over generalized coordinates and conformance to IEEE standards on electromagnetic...

This paper presents sufficient conditions for designing magnetic circuit wireless picogrids for non-smartphones to mitigate user inconveniences due to flexibility, safety and reliability issues. The work demonstrates flexibility and safety by efficiency regulation over generalized coordinates and conformance to IEEE standards on electromagnetic fie...

Business environments including agricultural business environments are known to have subgroups of desks, counters, workers and customers of distinct stationary preferences, allocations and characteristics. Is it possible then to carry out analysis with these agents embedded in a system? That is, can one differentiate basic agents such as subgroup p...

We solve a machine redundancy problem in ATM centers via service policy design. Generally, redundancy has the tendency to increase the cost of service. Using the supplementary variable technique, we derive models for the customer process. A comparative analysis with certain existing models shows that machines operating under our design are better u...

We solve a machine redundancy problem in ATM centers via service policy design. Generally, redundancy has the tendency to increase the cost of service. Using the supplementary variable technique, we derive models for the customer process. A comparative analysis with certain existing models shows that machines operating under our design are better u...

This article discusses the steady state analysis of a heterogeneous server queuing system called the Geo/G/2 queue. We supposed that arrivals occur according to a geometric process to receive service on server-1 according to a geometric service time distribution with mean rate μ or on server-2 according to a general distribution B(t) with mean rate...

We study the M/G/2 queuing system with an exponential server (server-1) and a general server under a controlled queue discipline. Such a queuing model depicts a service system where servers are allocated to customers rather than chosen as in many telecommunications and computer business centers across the globe. The First Come First Served (FCFS) q...

In this article, we study the trends in queuing system mathematics (mathematical study of waiting lines) from its inception in 1909 to date. The aim is to educate on how advances in system engineering and operations research are transforming study trends in terms of scholarly contributions (historical evolution), problems formulation, analytic tech...

This article discusses the steady state analysis of the M/G/2M/G/2 queuing system with two heterogeneous servers under new queue disciplines when the classical First Come First Served ‘(FCFS)’ queue discipline is to be violated. Customers are served either by server-I according to an exponential service time distribution with mean rate μ or by serv...

In this paper, we study some basic limit theorems characterizing the stationary behavior of light traffic queuing systems. Beginning with limit theorems for the simple M/M/1 queuing system, we demonstrate the methodology for applying these theorems for the benefit of service systems. The limit theorems studied here are dominant in the literature. O...

In this article, modeling in queuing systems with heavy traffic customer flows is reviewed. Key areas include their limiting distributions, asymptotic behaviors, modeling issues and applications. Heavy traffic flows are features of queuing in modern communications, transportation and computer systems today. Initially, we reviewed the onset of asymp...

In queuing literature, several queue and service disciplines have been extensively studied along side various queuing systems. However, a realistic queue and service discipline alludes the literature since 1909. In this paper, we describe the discipline on the M/G/2 queue and give an account of its stationary behavior under the assumption that the...

This paper computes the expected wealth function E[Ψ τ ] for a family of portfolios in a semi martingale market given that the market price (X (1) t , t ≥ 0) for portfolio-one follows the Ornstein-Uhlenbeck process while that of portfolio-two (X (2) t , t ≥ 0) is a local martingale. Two port-folios of size φ n (t) and φ m (t) corresponding to the m...

This paper proposes a multi-server heterogenous M/G/C queue having (C − 1) exponential servers and a regularly varying general server with Poisson arrival process. The generalized steady state probabilities for any j customers in the system (j < ∞) was obtained given that, the service time distribution of the single general server is regularly vary...

This paper provides numerical approximations to partial differential equa-tion describing customer decay in a heterogenous server M/G/C queue with (C-1) exponential servers and a single regularly varying general server of Poi-son arrival process. The decay approximations were obtained given that, the service distribution of the general server is re...